Please help me use full explanation please hurry
1 answer:
Step-by-step explanation:
As we can see the question given
f(x) is varying accordingly to the interval
<em> f(x) = 2 if 2<x≤4</em>
The value of function is 2 for the interval 2 to 4
and interval is open at x=2 and closed at x = 4
<em> f(x) = x + 3 if 4<x<8</em>
The value of function is x + 3 and it is open at x = 4 and x = 8
<em>f(x) = 2x if x 8</em>
The value of function is 2x for x greater than or equal to 8
The image is attached for more clearing of doubt
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Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3
The formula of a slope:
We have the points (look at the picture) (0, 1) and (-2, -2). Substitute:
